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Two phenomenological diffusion theories based, respectively, on thermodynamics of irreversible processes and on a dynamical method are compared.
It is shown that both formulations correctly describe the diffusion process, and that the selection of the appropriate scheme for a particular problem is a matter of convenience. The formulation according to irreversible thermodynamics appears, however, -preferable for problems involving the differential diffusion equation.
The matrix of coefficients connecting the two formulations is calculated explicitly in a form applicable to all reference frames for the bulk velocity.

The chemical effects which result from the passage of energetic atoms through liquid or gaseous media, have been studied by means of exact methods of the theory of probability. The distribution function for the number of hot products has been determined in terms of the efficiency of reaction upon collision.

Using the model established in paper I [1], the chemical effects which result from a multiplying system of hot particles have been studied. The «first collision equation » treatment of the general Markoff cascade is applied to hot atoms. Semi-invariants characterizing the distribution of the number of hot products (average value and dispersion) may be computed, by using the generating function of that distribution.

Using the special representation introduced by I. Prigogine and S. Ono, we derive an exact formula for the conductivity tensor resulting from the scattering of a free electron by randomly distributed impurities. This formula is the exact analog of the general expression obtained by R. Balescu for classical systems.
This formula is applied to the explicit calculation of this conductivity tensor up to the order λ0. Special attention is paid to the λ0 correction coming from a fourth order transition, which has a singular behavior in the limit of an infinite system, although no intermediate are identical with each other.

Étude de la solution fondamentale de l'équation de Tricomi et d'équations associées.

In spite of its impressive systematic unity, the market and price theory is in danger of internal contradictions which the author calls the "Paradox of the competitive price formation". Up to now no definition says what competition is, but merely describes under what conditions is exists and which are its consequences. This point is stressed by means of a dogmatic retrospective view. Competition is not a characteristic feature of one market form, but is the fundamental phenomenon of any economy, as long as it is a process; as an organization form of market process competition is, on the contrary, essentially a creature of government. In connection with the theory of economic behavior, competition can be determined as the possibility of alternatives between which the market participants can freely choose. But competition as a behavior can be active only in a state of desequilibrium, whereas in a state of equilibrium it is, per definitionem, in repose. This obviously unsatisfactory result in being analyzed from the point of view of the monopolistic theory, economic history and sociology and confronted with the theory of costs and the theory of games. Finally the author advises to leave economics open to all methods by means of the synthesis of deductive-theoretical and sociologic-historical research, instead of adjusting it simply to the mathematical theory, as in the case of mere functional analysis and model constructions there is no other way than to substitute one abstraction for an other. ; Instituto de Investigaciones Económicas

Pereyra, M. (1945). The language of the forms. A theory of the "creator" power of the camera. Experimental cinema. (2): 99-102. http://hdl.handle.net/10251/42600. ; 99 102 2 ; Pereyra, M. (1945). The language of the forms. A theory of the "creator" power of the camera. Experimental cinema. (2): 99-102. http://hdl.handle.net/10251/42600. ; Importación Masiva ; Pereyra, M. (1945). The language of the forms. A theory of the "creator" power of the camera. Experimental cinema. (2): 99-102. http://hdl.handle.net/10251/42600. ; Pereyra, M. (1945). El lenguaje de las formas. Una teoría sobre el poder "creador" de la cámara. Cine experimental. (2):99-102. http://hdl.handle.net/10251/42600.

Admin'ive structures are of capital importance in every aspect of French life. Only through a sociol'al approach can we understand the factors which condition their present-day org & its evolution. The data collected during a psycho-sociol'al study of an important Parisian ministry allows us to study the principal org'al problems: effectives, adaptation of personnel to functions, org of lower ranks, & the integration of the entire personnel corps within the service. These problems cannot be resolved because of the poor distribution of power & the complete separation between those who conceive the idea & those who execute it. We can draw a certain number of general precepts from this study, regarding the admin'ive system & the 'cultural' type of the public servant, & from these, the general directions in which sociol'al res might produce solutions to the problems of public administration. IPSA.

The theory which has been propagated in China since the spring of 1958 has been designated by the phrase buduan geming lun, which means literally 'the theory of the uninterrupted revolution.' Nevertheless, since it resembles the same term employed for 30 yrs to stigmatize the theory of Trotsky, it seems legitimate to translate the phrase as 'the permanent revolution.' Though the theory has never been developed in the writings of Mao Tse-Tung, it has always been attributed to him, & constitutes a natural elaboration of certain of his earlier writings, notably 'On the Contradiction' (1937) & his discussion of 'hundred flowers' (1957). This theory contains several characteristics in common with Trotsky's views, particularly in that it envisions a continual uprooting of society during the transition stage between socialism & communism. The Chinese conception is more far reaching, however; it relies upon the ideas of Engels & Lenin concerning the dialectic of nature, it foresees an uninterrupted series of 'qualitative transformations' in soc relations springing from the development of productive forces even after Communism fully arrives, & it titles these transformations, revolutions, so that the potential number of revolutions becomes unlimited. More important is its role in the present Chinese society. It is a reflection of 30 yrs of constant struggle against internal & external adversaries, & an instrument for the mobilization of the masses to the service of present policies of 'the great leap forward' & of the peoples' communes. Tr. by J. A. Broussard from IPSA.

In this paper, a system k0, obtained from Bochvar's system K0, by dropping the symbol « = » and the corresponding axioms, and with the same fundamental properties, is exhibited. K0 and k0 have a model in the extended propositionnal calculus, hence can be reduced in Boole's algebra. K0 and k0 have a model in the theory of elementary arithmetic sets, giving an interpretation of the paradoxes of Logic in this theory.

The theory of conformal solutions of Longuet-Higgins is applied to the problem of critical vaporization of mixtures. The first-order theory permits to obtain some interesting relations between Tc(x), vc(x) and pc(x) on the one hand and intermolecular forces on the other hand. However the important case of dispersion forces cannot be treated by this method.

The effect of small dipolar interactions in solutions is examined. Prigogine, Bellemans and Englert's theory of solutions is applied quite generally to interpret this effect in solutions of molecules of different sizes and different central interactions. Pure dipolar interactions and inductive forces in binary solutions containing one polar constituent are discussed. The theory is in good agreement with experimental data on the excess functions of the system CHCl3 — CCl4.

It is shown that the Lagrangian of General Relativity can be put in a form that makes transparent its formal relation with a field theory of spin two in flat space. The self interaction by which General Relativity emerges from the linear theory can be determined term by term by a simple substitution. This is also achieved for the symmetrized energy momentum tensor of this Lagrangian.
Some related questions are discussed.